论文标题
在特殊相对论中运动空间的几何形状上
On the geometry of the kinematic space in special relativity
论文作者
论文摘要
特殊相对论中惯性参考帧的分类空间自然是双曲线。双曲线几何形状的中心元素与特殊相对论之间存在着显着的相互作用 - 过去已经观察到，我们在本文中已经观察到并在本文中进一步讨论。我们旨在通过给出物理概念/现象纯粹的几何定义/描述来对运动空间的特殊相对论的几何化。这样，特殊相对论与经典力学之间的差异可以看作是其运动空间不同几何表现的体现。
The classifying space of inertial reference frames in special relativity is naturally hyperbolic. There is a remarkable interplay between central elements of hyperbolic geometry and those of special relativity -- which, to a certain extent, have already been observed in the past -- that we present and further discuss in the paper. We aim at a geometrization of special relativity at the level of kinematic space by giving to physical concepts/phenomena purely geometric definitions/descriptions. In this way, the differences between special relativity and classical mechanics can be seen as a manifestation of the distinct geometric natures of their kinematic spaces.
